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Finding the Third Proportional to 6,470 and 13,604

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Solution

The third proportional to 6,470 and 13,604 is: 28,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470 : 13,604 = 13,604 : x
  2. Step 2: Convert to fraction form
    6,470/13,604 = 13,604/x
  3. Step 3: Cross multiply
    6,470x = 13,604 × 13,604
  4. Step 4: Simplify right side
    6,470x = 185,068,816
  5. Step 5: Solve for x
    x = 185,068,816/6,470
  6. Step 6: Final answer
    x = 28,604.14

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.